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Finding the Fourth Proportional to 872.85, 1,205.12 and 541.77

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Solution

The fourth proportional to 872.85, 1,205.12 and 541.77 is: 748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.85 : 1,205.12 = 541.77 : x
  2. Step 2: Convert to fraction form
    872.85/1,205.12 = 541.77/x
  3. Step 3: Cross multiply
    872.85x = 1,205.12 × 541.77
  4. Step 4: Simplify right side
    872.85x = 652,895.15
  5. Step 5: Solve for x
    x = 652,895.15/872.85
  6. Step 6: Final answer
    x = 748.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.